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Subject Area - CC.2:
Mathematics
Mathematics
- Standard Area - CC.2.2: Algebraic Concepts
- Grade Level - CC.2.2.HS: GRADE High School
Standard - CC.2.2.HS.C.3
Write functions or sequences that model relationships between two quantities.
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Assessment Anchor - A1.1.2
Linear Equations
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Anchor Descriptor - A1.1.2.1 Write, solve and/or graph linear equations and inequalities using various methods.
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Eligible Content - A1.1.2.1.1 Write, solve and/or apply a linear equation (including problem situations).
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Eligible Content - A1.1.2.1.2 Use and/or identify an algebraic property to justify any step in an equation solving process (linear equations only).
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Eligible Content - A1.1.2.1.3 Interpret solutions to problems in the context of the problem situation (linear equations only).
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Anchor Descriptor - A1.1.2.2 Write, solve and/or graph systems of linear equations using various methods.
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Eligible Content - A1.1.2.2.1 Write and/or solve a system of linear equations (including problem situations) using graphing, substitution and/or elimination (limit systems to 2 linear equations).
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Eligible Content - A1.1.2.2.2 Interpret solutions to problems in the context of the problem situation (systems of 2 linear equations only).
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Assessment Anchor - A1.2.1
Functions
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Anchor Descriptor - A1.2.1.1 Analyze and/or use patterns or relations.
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Eligible Content - A1.2.1.1.1 Analyze a set of data for the existence of a pattern and represent the pattern algebraically and/or graphically.
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Eligible Content - A1.2.1.1.2 Determine if a relation is a function given a set of points or a graph.
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Eligible Content - A1.2.1.1.3 Identify the domain or range of a relation (may be presented as ordered pairs, a graph, or a table).
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Anchor Descriptor - A1.2.1.2 Interpret and/or use linear functions and their equations, graphs or tables.
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Eligible Content - A1.2.1.2.1 Create, interpret and/or use the equation, graph or table of a linear function.
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Eligible Content - A1.2.1.2.2 Translate from one representation of a linear function to another (graph, table and equation).
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Assessment Anchor - A1.2.2
Coordinate Geometry
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Anchor Descriptor - A1.2.2.1 Describe, compute and/or use the rate of change (slope) of a line.
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Eligible Content - A1.2.2.1.1 Identify, describe and/or use constant rates of change.
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Eligible Content - A1.2.2.1.2 Apply the concept of linear rate of change (slope) to solve problems.
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Eligible Content - A1.2.2.1.3
Write or identify a linear equation when given
- the graph of the line
- 2 points on the line, or
- the slope and a point on a line,
(Linear equation may be in point-slope, standard and/or slope-intercept form).
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Eligible Content - A1.2.2.1.4 Determine the slope and/or y-intercept represented by a linear equation or graph.
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Anchor Descriptor - A1.2.2.2 Analyze and/or interpret data on a scatter plot.
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Eligible Content - A1.2.2.2.1 Draw, find and/or write an equation for a line of best fit for a scatter plot.
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Assessment Anchor - A2.2.1
Patterns, Relations, and Functions
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Anchor Descriptor - A2.2.1.1 Analyze and/or use patterns or relations.
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Eligible Content - A2.2.1.1.1 Analyze a set of data for the existence of a pattern and represent the pattern with a rule algebraically and/or graphically.
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Eligible Content - A2.2.1.1.2
Identify and/or extend a pattern as either an arithmetic or geometric sequence (e.g., given a geometric sequence, find the 20th term).
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Eligible Content - A2.2.1.1.3 Determine the domain, range or inverse of a relation.
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Eligible Content - A2.2.1.1.4 Identify and/or determine the characteristics of an exponential, quadratic, or polynomial function (e.g., intervals of increasing/decreasing, intercepts, zeros, and asymptotes).
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Assessment Anchor - A2.2.2
Applications of Functions
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Anchor Descriptor - A2.2.2.1 Create, interpret and/or use polynomial, exponential and/or logarithmic functions and their equations, graphs or tables.
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Eligible Content - A2.2.2.1.1 Create, interpret and/or use the equation, graph or table of a polynomial function (including quadratics).
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Eligible Content - A2.2.2.1.2 Create, interpret and/or use the equation, graph or table of an exponential or logarithmic function (including common and natural logarithms).
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Eligible Content - A2.2.2.1.3
Determine, use and/or interpret minimum and maximum values over a specified interval of a graph of a polynomial, exponential or logarithmic function.
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Eligible Content - A2.2.2.1.4
Translate a polynomial, exponential or logarithmic function from one representation to another (graph, table and equation).
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Anchor Descriptor - A2.2.2.2 Describe and/or determine families of functions.
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Eligible Content - A2.2.2.2.1
Identify or describe the effect of changing parameters within a family of functions (e.g., y = x2 and y = x2 + 3, or y = x2 and y = 3x2).
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Assessment Anchor - A2.1.3
Non-Linear Equations
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Anchor Descriptor - A2.1.3.1 Write and/or solve non-linear equations using various methods.
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Eligible Content - A2.1.3.1.1 Write and/or solve quadratic equations (including factoring and using the Quadratic Formula).
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Eligible Content - A2.1.3.1.2
Solve equations involving rational and/or radical expressions (e.g., 10/(x + 3) + 12/(x – 2) = 1 or √( x2 + 21x) = 14).
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Eligible Content - A2.1.3.1.3 Write and/or solve a simple exponential or logarithmic equation (including common and natural logarithms).
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Eligible Content - A2.1.3.1.4 Write, solve and/or apply linear or exponential growth or decay (including problem situations).
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Anchor Descriptor - A2.1.3.2 Describe and/or determine change.
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Eligible Content - A2.1.3.2.1 Determine how a change in one variable relates to a change in a second variable (e.g., y=4/x, if x doubles, what happens to y?).
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Eligible Content - A2.1.3.2.2 Use algebraic processes to solve a formula for a given variable (e.g., solve d = rt for r).
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Alternate Eligible Content - CC.2.2.HS.C.3.a Describe the linear relationship between two variables displayed in a table of values.
Alternate Eligible Content is designed for students assessed using the PA Alternate System of Assessment (PASA). Essentialized Example resources assist teachers in designing instruction that reduces content complexity while maintaining alignment to academic standards.
